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<a href="vector_8h.html">Go to the documentation of this file.</a><div class="fragment"><pre class="fragment"><a name="l00001"></a>00001 
<a name="l00013"></a>00013 <span class="preprocessor">#ifndef __Vector__</span>
<a name="l00014"></a>00014 <span class="preprocessor"></span><span class="preprocessor">#define __Vector__</span>
<a name="l00015"></a>00015 <span class="preprocessor"></span>
<a name="l00016"></a>00016 <span class="preprocessor">#include &lt;math.h&gt;</span>
<a name="l00017"></a>00017 
<a name="l00018"></a>00018 
<a name="l00019"></a>00019 <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="vector_8h.html#abfd5ae418eb7fae08f5f208c22764d9e" title="Return a new vector with coordinates set to the minimum coordinates of the two argument vectors...">min</a>(<span class="keyword">const</span> <span class="keywordtype">double</span>&amp; a, <span class="keyword">const</span> <span class="keywordtype">double</span>&amp; b)
<a name="l00020"></a>00020 {
<a name="l00021"></a>00021         <span class="keywordflow">return</span> (a &lt; b) ? a : b;
<a name="l00022"></a>00022 }
<a name="l00023"></a>00023 
<a name="l00024"></a>00024 <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="vector_8h.html#afb93cfbea29400cb7e64af1c14e9e79e" title="Return a new vector with coordinates set to the maximum coordinates of the two argument vectors...">max</a>(<span class="keyword">const</span> <span class="keywordtype">double</span>&amp; a, <span class="keyword">const</span> <span class="keywordtype">double</span>&amp; b)
<a name="l00025"></a>00025 {
<a name="l00026"></a>00026         <span class="keywordflow">return</span> (a &gt; b) ? a : b;
<a name="l00027"></a>00027 }
<a name="l00028"></a>00028 
<a name="l00036"></a><a class="code" href="class_vector.html">00036</a> <span class="keyword">class </span><a class="code" href="class_vector.html" title="Vector class.">Vector</a>
<a name="l00037"></a>00037 {
<a name="l00038"></a>00038         <span class="keyword">public</span>:
<a name="l00039"></a>00039           
<a name="l00040"></a>00040         <span class="keywordtype">double</span> x,y,z;
<a name="l00041"></a>00041         
<a name="l00042"></a>00042         <a class="code" href="class_vector.html" title="Vector class.">Vector</a>() { }
<a name="l00043"></a>00043         <a class="code" href="class_vector.html" title="Vector class.">Vector</a>(<span class="keyword">const</span> <span class="keywordtype">double</span>&amp; a, <span class="keyword">const</span> <span class="keywordtype">double</span>&amp; b, <span class="keyword">const</span> <span class="keywordtype">double</span>&amp; c) { x = a; y = b; z = c; }
<a name="l00044"></a>00044 
<a name="l00045"></a>00045         <span class="keywordtype">double</span> length() { <span class="keywordflow">return</span> sqrt(x * x + y * y + z * z); }
<a name="l00046"></a>00046 
<a name="l00047"></a>00047         <span class="comment">// Functions to access Vector class components</span>
<a name="l00048"></a>00048         <span class="keywordtype">double</span>&amp; operator[](<span class="keywordtype">int</span> i) {
<a name="l00049"></a>00049                 <span class="keywordflow">if</span>(i == 0) <span class="keywordflow">return</span> x;
<a name="l00050"></a>00050                 <span class="keywordflow">else</span> <span class="keywordflow">if</span>(i == 1) <span class="keywordflow">return</span> y;
<a name="l00051"></a>00051                 <span class="keywordflow">else</span> <span class="keywordflow">return</span> z;
<a name="l00052"></a>00052         }
<a name="l00053"></a>00053 
<a name="l00054"></a>00054         <span class="keyword">const</span> <span class="keywordtype">double</span> operator[](<span class="keywordtype">int</span> i)<span class="keyword"> const </span>{
<a name="l00055"></a>00055                 <span class="keywordflow">if</span>(i == 0) <span class="keywordflow">return</span> x;
<a name="l00056"></a>00056                 <span class="keywordflow">else</span> <span class="keywordflow">if</span>(i == 1) <span class="keywordflow">return</span> y;
<a name="l00057"></a>00057                 <span class="keywordflow">else</span> <span class="keywordflow">return</span> z;
<a name="l00058"></a>00058         }
<a name="l00059"></a>00059 
<a name="l00060"></a>00060         <a class="code" href="class_vector.html" title="Vector class.">Vector</a> Scale(<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; b)<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>(x * b.x, y * b.y, z * b.z); }
<a name="l00061"></a>00061 
<a name="l00062"></a>00062         <span class="comment">// Unary operators</span>
<a name="l00063"></a>00063         <a class="code" href="class_vector.html" title="Vector class.">Vector</a> operator+ () <span class="keyword">const</span>;
<a name="l00064"></a>00064         <a class="code" href="class_vector.html" title="Vector class.">Vector</a> operator- () <span class="keyword">const</span>;
<a name="l00065"></a>00065 
<a name="l00066"></a>00066         <span class="comment">// Assignment operators</span>
<a name="l00067"></a>00067         <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; operator+= (<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp;);
<a name="l00068"></a>00068         <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; operator-= (<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp;);
<a name="l00069"></a>00069         <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; operator*= (<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp;);
<a name="l00070"></a>00070         <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; operator/= (<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp;);
<a name="l00071"></a>00071         <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; operator*= (<span class="keywordtype">double</span>);
<a name="l00072"></a>00072         <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; operator/= (<span class="keywordtype">double</span>);
<a name="l00073"></a>00073 
<a name="l00074"></a>00074         <span class="comment">// Binary operators</span>
<a name="l00075"></a>00075         <span class="keyword">friend</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a> operator+ (<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp;, <span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp;);
<a name="l00076"></a>00076         <span class="keyword">friend</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a> operator- (<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp;, <span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp;);
<a name="l00077"></a>00077 
<a name="l00078"></a>00078         <span class="keyword">friend</span> <span class="keywordtype">double</span> operator* (<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp;, <span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp;);
<a name="l00079"></a>00079 
<a name="l00080"></a>00080         <span class="keyword">friend</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a> operator* (<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp;, <span class="keywordtype">double</span>);
<a name="l00081"></a>00081         <span class="keyword">friend</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a> operator* (<span class="keywordtype">double</span>, <span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp;);
<a name="l00082"></a>00082         <span class="keyword">friend</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a> operator/ (<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp;, <span class="keywordtype">double</span>);
<a name="l00083"></a>00083 
<a name="l00084"></a>00084         <span class="keyword">friend</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a> operator/ (<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp;, <span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp;);
<a name="l00085"></a>00085 
<a name="l00086"></a>00086         <span class="comment">// Boolean functions</span>
<a name="l00087"></a>00087         <span class="keyword">friend</span> <span class="keywordtype">int</span> operator==(<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp;,<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp;);
<a name="l00088"></a>00088         <span class="keyword">friend</span> <span class="keywordtype">int</span> operator!=(<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp;,<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp;);
<a name="l00089"></a>00089         <span class="keyword">friend</span> <span class="keywordtype">int</span> operator&lt;(<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp;,<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp;);
<a name="l00090"></a>00090         <span class="keyword">friend</span> <span class="keywordtype">int</span> operator&gt;(<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp;,<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp;);
<a name="l00091"></a>00091         <span class="keyword">friend</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a> <a class="code" href="class_vector.html#a42522fc19a307d9ceca3ec122e81fea7" title="Return a new vector with coordinates set to the minimum coordinates of the two argument vectors...">min</a>(<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp;,<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp;);
<a name="l00092"></a>00092         <span class="keyword">friend</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a> <a class="code" href="class_vector.html#ac7fa5b7201c15daca80958d11a93c79a" title="Return a new vector with coordinates set to the maximum coordinates of the two argument vectors...">max</a>(<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp;,<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp;);
<a name="l00093"></a>00093 
<a name="l00094"></a>00094         <span class="keyword">friend</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a> <a class="code" href="class_vector.html#ac32c66eb175b3fc3a00aa2b972af9a72" title="Returns a new vector orthogonal to the argument vector.">Orthogonal</a>(<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp;);
<a name="l00095"></a>00095 
<a name="l00096"></a>00096         <span class="comment">// Norm</span>
<a name="l00097"></a>00097         <span class="keyword">friend</span> <span class="keywordtype">double</span> <a class="code" href="class_vector.html#aafee6c0f5a420bd4f869b62d099222b3" title="Compute the Euclidean norm of a vector.">Norm</a>(<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp;);
<a name="l00098"></a>00098         <span class="keyword">friend</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a> <a class="code" href="class_vector.html#a49c314e89f483ee7c68fca2baf9920b1" title="Compute the Euclidean norm of a vector.">Normalized</a>(<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp;);
<a name="l00099"></a>00099 };
<a name="l00100"></a>00100 
<a name="l00101"></a>00101 <span class="comment">// Unary operators</span>
<a name="l00102"></a>00102 
<a name="l00103"></a>00103 <span class="keyword">inline</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a> Vector::operator+()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> *<span class="keyword">this</span>; }
<a name="l00104"></a>00104 
<a name="l00105"></a>00105 <span class="keyword">inline</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a> Vector::operator-()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>(-x,-y,-z); }
<a name="l00106"></a>00106 
<a name="l00107"></a>00107 <span class="comment">// Assignment unary operators</span>
<a name="l00108"></a>00108 
<a name="l00109"></a>00109 <span class="keyword">inline</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; Vector::operator+=(<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; u)
<a name="l00110"></a>00110 {
<a name="l00111"></a>00111         x += u.x;
<a name="l00112"></a>00112         y += u.y;
<a name="l00113"></a>00113         z += u.z;
<a name="l00114"></a>00114         <span class="keywordflow">return</span> *<span class="keyword">this</span>;
<a name="l00115"></a>00115 }
<a name="l00116"></a>00116 
<a name="l00117"></a>00117 <span class="keyword">inline</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; Vector::operator-=(<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; u)
<a name="l00118"></a>00118 {
<a name="l00119"></a>00119         x -= u.x;
<a name="l00120"></a>00120         y -= u.y;
<a name="l00121"></a>00121         z -= u.z;
<a name="l00122"></a>00122         <span class="keywordflow">return</span> *<span class="keyword">this</span>;
<a name="l00123"></a>00123 }
<a name="l00124"></a>00124 
<a name="l00125"></a>00125 <span class="keyword">inline</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; Vector::operator*=(<span class="keywordtype">double</span> a)
<a name="l00126"></a>00126 {
<a name="l00127"></a>00127         x *= a;
<a name="l00128"></a>00128         y *= a;
<a name="l00129"></a>00129         z *= a;
<a name="l00130"></a>00130         <span class="keywordflow">return</span> *<span class="keyword">this</span>;
<a name="l00131"></a>00131 }
<a name="l00132"></a>00132 
<a name="l00133"></a>00133 <span class="keyword">inline</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; Vector::operator/=(<span class="keywordtype">double</span> a)
<a name="l00134"></a>00134 {
<a name="l00135"></a>00135         x /= a;
<a name="l00136"></a>00136         y /= a;
<a name="l00137"></a>00137         z /= a;
<a name="l00138"></a>00138         <span class="keywordflow">return</span> *<span class="keyword">this</span>;
<a name="l00139"></a>00139 }
<a name="l00140"></a>00140 
<a name="l00141"></a>00141 <span class="keyword">inline</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; Vector::operator*=(<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; u)
<a name="l00142"></a>00142 {
<a name="l00143"></a>00143         x *= u.x;
<a name="l00144"></a>00144         y *= u.y;
<a name="l00145"></a>00145         z *= u.z;
<a name="l00146"></a>00146         <span class="keywordflow">return</span> *<span class="keyword">this</span>;
<a name="l00147"></a>00147 }
<a name="l00148"></a>00148 
<a name="l00149"></a>00149 <span class="keyword">inline</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; Vector::operator/=(<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; u)
<a name="l00150"></a>00150 {
<a name="l00151"></a>00151         x /= u.x;
<a name="l00152"></a>00152         y /= u.y;
<a name="l00153"></a>00153         z /= u.z;
<a name="l00154"></a>00154         <span class="keywordflow">return</span> *<span class="keyword">this</span>;
<a name="l00155"></a>00155 }
<a name="l00156"></a>00156 
<a name="l00157"></a>00157 <span class="comment">// Binary operators</span>
<a name="l00158"></a>00158 <span class="keyword">inline</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a> operator+(<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; u, <span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; v)
<a name="l00159"></a>00159 {
<a name="l00160"></a>00160         <span class="keywordflow">return</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>(u.x + v.x, u.y + v.y, u.z + v.z);
<a name="l00161"></a>00161 }
<a name="l00162"></a>00162 
<a name="l00163"></a>00163 <span class="keyword">inline</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a> operator-(<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; u, <span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; v)
<a name="l00164"></a>00164 {
<a name="l00165"></a>00165         <span class="keywordflow">return</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>(u.x - v.x, u.y - v.y, u.z - v.z);
<a name="l00166"></a>00166 }
<a name="l00167"></a>00167 
<a name="l00168"></a>00168 <span class="comment">// Scalar product</span>
<a name="l00169"></a>00169 <span class="keyword">inline</span> <span class="keywordtype">double</span> operator*(<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; u, <span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; v)
<a name="l00170"></a>00170 {
<a name="l00171"></a>00171         <span class="keywordflow">return</span> (u.x * v.x + u.y * v.y + u.z * v.z);
<a name="l00172"></a>00172 }
<a name="l00173"></a>00173 
<a name="l00174"></a>00174 <span class="keyword">inline</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a> operator*(<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; u,<span class="keywordtype">double</span> a)
<a name="l00175"></a>00175 {
<a name="l00176"></a>00176         <span class="keywordflow">return</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>(u.x * a, u.y * a, u.z * a);
<a name="l00177"></a>00177 }
<a name="l00178"></a>00178 
<a name="l00179"></a>00179 <span class="keyword">inline</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a> operator*(<span class="keywordtype">double</span> a, <span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; v)
<a name="l00180"></a>00180 {
<a name="l00181"></a>00181         <span class="keywordflow">return</span> v * a;
<a name="l00182"></a>00182 }
<a name="l00183"></a>00183 
<a name="l00184"></a>00184 <span class="comment">// Cross product</span>
<a name="l00185"></a>00185 <span class="keyword">inline</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a> operator/(<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; u, <span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; v)
<a name="l00186"></a>00186 {
<a name="l00187"></a>00187         <span class="keywordflow">return</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>(u.y * v.z - u.z * v.y, u.z * v.x - u.x * v.z, u.x * v.y - u.y * v.x);
<a name="l00188"></a>00188 }
<a name="l00189"></a>00189 
<a name="l00190"></a>00190 <span class="keyword">inline</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a> operator/(<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; u, <span class="keywordtype">double</span> a)
<a name="l00191"></a>00191 {
<a name="l00192"></a>00192         <span class="keywordflow">return</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>(u.x / a, u.y / a, u.z / a);
<a name="l00193"></a>00193 }
<a name="l00194"></a>00194 
<a name="l00195"></a>00195 <span class="comment">// Boolean functions</span>
<a name="l00196"></a>00196 <span class="keyword">inline</span> <span class="keywordtype">int</span> operator==(<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; u,<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; v)
<a name="l00197"></a>00197 {
<a name="l00198"></a>00198         <span class="keywordflow">return</span> ((u.x == v.x) &amp;&amp; (u.y == v.y) &amp;&amp; (u.z == v.z));
<a name="l00199"></a>00199 }
<a name="l00200"></a>00200 
<a name="l00201"></a>00201 <span class="keyword">inline</span> <span class="keywordtype">int</span> operator!=(<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; u,<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; v)
<a name="l00202"></a>00202 {
<a name="l00203"></a>00203         <span class="keywordflow">return</span> (!(u == v));
<a name="l00204"></a>00204 }
<a name="l00205"></a>00205 
<a name="l00209"></a><a class="code" href="vector_8h.html#af90b4e3482e18ba87ba91dac37f85813">00209</a> <span class="keyword">inline</span> <span class="keywordtype">double</span> <a class="code" href="vector_8h.html#af90b4e3482e18ba87ba91dac37f85813" title="Compute the Euclidean norm of a vector.">Norm</a>(<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; u)
<a name="l00210"></a>00210 {
<a name="l00211"></a>00211         <span class="keywordflow">return</span> sqrt(u.x * u.x + u.y * u.y + u.z * u.z);
<a name="l00212"></a>00212 }
<a name="l00213"></a>00213 
<a name="l00217"></a><a class="code" href="vector_8h.html#a69dac1e81907adf00b7ac711610542a6">00217</a> <span class="keyword">inline</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a> <a class="code" href="vector_8h.html#a69dac1e81907adf00b7ac711610542a6" title="Compute the Euclidean norm of a vector.">Normalized</a>(<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; u)
<a name="l00218"></a>00218 {
<a name="l00219"></a>00219         <span class="keywordflow">return</span> u / sqrt(u.x * u.x + u.y * u.y + u.z * u.z);
<a name="l00220"></a>00220 }
<a name="l00221"></a>00221 
<a name="l00222"></a>00222 <span class="keyword">inline</span> <span class="keywordtype">int</span> operator&lt;(<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; a,<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; b)
<a name="l00223"></a>00223 {
<a name="l00224"></a>00224         <span class="keywordflow">return</span> ((a.x &lt; b.x) &amp;&amp; (a.y &lt; b.y) &amp;&amp; (a.z &lt; b.z));
<a name="l00225"></a>00225 }
<a name="l00226"></a>00226 
<a name="l00227"></a>00227 <span class="keyword">inline</span> <span class="keywordtype">int</span> operator&gt;(<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; a,<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; b)
<a name="l00228"></a>00228 {
<a name="l00229"></a>00229         <span class="keywordflow">return</span> ((a.x &gt; b.x) &amp;&amp; (a.y &gt; b.y) &amp;&amp; (a.z &gt; b.z));
<a name="l00230"></a>00230 }
<a name="l00231"></a>00231 
<a name="l00235"></a><a class="code" href="vector_8h.html#abfd5ae418eb7fae08f5f208c22764d9e">00235</a> <span class="keyword">inline</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a> <a class="code" href="vector_8h.html#abfd5ae418eb7fae08f5f208c22764d9e" title="Return a new vector with coordinates set to the minimum coordinates of the two argument vectors...">min</a>(<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; a,<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; b)
<a name="l00236"></a>00236 {
<a name="l00237"></a>00237         <span class="keywordflow">return</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>(a[0] &lt; b[0] ? a[0] : b[0], a[1] &lt; b[1] ? a[1] : b[1], a[2] &lt; b[2] ? a[2] : b[2]);
<a name="l00238"></a>00238 }
<a name="l00239"></a>00239 
<a name="l00243"></a><a class="code" href="vector_8h.html#afb93cfbea29400cb7e64af1c14e9e79e">00243</a> <span class="keyword">inline</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a> <a class="code" href="vector_8h.html#afb93cfbea29400cb7e64af1c14e9e79e" title="Return a new vector with coordinates set to the maximum coordinates of the two argument vectors...">max</a>(<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; a,<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; b)
<a name="l00244"></a>00244 {
<a name="l00245"></a>00245         <span class="keywordflow">return</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>(a[0] &gt; b[0] ? a[0] : b[0], a[1] &gt; b[1] ? a[1] : b[1], a[2] &gt; b[2] ? a[2] : b[2]);
<a name="l00246"></a>00246 }
<a name="l00247"></a>00247 
<a name="l00248"></a>00248 
<a name="l00252"></a><a class="code" href="vector_8h.html#ab377ffb2508b52674542487885f7b4f1">00252</a> <span class="keyword">inline</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a> <a class="code" href="vector_8h.html#ab377ffb2508b52674542487885f7b4f1" title="Returns a new vector orthogonal to the argument vector.">Orthogonal</a>(<span class="keyword">const</span> <a class="code" href="class_vector.html" title="Vector class.">Vector</a>&amp; u)
<a name="l00253"></a>00253 {
<a name="l00254"></a>00254         <a class="code" href="class_vector.html" title="Vector class.">Vector</a> a = <a class="code" href="class_vector.html" title="Vector class.">Vector</a>(fabs(u[0]), fabs(u[1]), fabs(u[2]));
<a name="l00255"></a>00255         <span class="keywordtype">int</span> i = 0;
<a name="l00256"></a>00256         <span class="keywordtype">int</span> j = 1;
<a name="l00257"></a>00257         
<a name="l00258"></a>00258         <span class="keywordflow">if</span>(a[0] &gt; a[1])
<a name="l00259"></a>00259                 <span class="keywordflow">if</span>(a[2] &gt; a[1]) j=2;
<a name="l00260"></a>00260         <span class="keywordflow">else</span>
<a name="l00261"></a>00261         {
<a name="l00262"></a>00262                 i = 1;
<a name="l00263"></a>00263                 j = 2;
<a name="l00264"></a>00264                 <span class="keywordflow">if</span>(a[0] &gt; a[2]) j= 0;
<a name="l00265"></a>00265         }
<a name="l00266"></a>00266         
<a name="l00267"></a>00267         a = <a class="code" href="class_vector.html" title="Vector class.">Vector</a>(0.0, 0.0, 0.0);
<a name="l00268"></a>00268         a[i] = u[j];
<a name="l00269"></a>00269         a[j] =-u[i];
<a name="l00270"></a>00270         <span class="keywordflow">return</span> a;
<a name="l00271"></a>00271 }
<a name="l00272"></a>00272 
<a name="l00273"></a>00273 <span class="preprocessor">#endif</span>
</pre></div></div>
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